Details

sample152.0ms

Algorithm

intervals

Results

76.0ms	1622×	body	80	nan
14.0ms	256×	body	80	valid

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	58	16
3	122	16
4	297	16
5	661	16
6	1150	16
7	1882	16
8	2069	16
9	2072	16
done	2072	16

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.2b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

19×	`log-prod` `*-un-lft-identity`
15×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
10×	`pow1` `add-log-exp`
9×	`associate-+r+`
7×	`associate-+l+`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/`
5×	`add-exp-log` `flip3--` `associate-l` `sum-log` `log-pow` `add-cbrt-cube` `flip--` `distribute-lft-out`
4×	`associate-r` `frac-add`
3×	`associate-+l-` `flip3-+` `flip-+`
2×	`+-commutative` `log-div` `diff-log`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 80

Calls

3 calls:

103.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
11.0ms	(* (- a 0.5) (log t))
6.0ms	(+ (log (+ x y)) (log z))

series328.0ms

Counts

3 → 9

Calls

3 calls:

198.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
60.0ms	(* (- a 0.5) (log t))
70.0ms	(+ (log (+ x y)) (log z))

simplify706.0ms

Counts

89 → 89

Iterations

Useful iterations: done (699.0ms)

Iter	Nodes	Cost
0	224	1499
1	577	1424
2	1966	1323
done	5001	1316

prune319.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.1b	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
0.1b	(+ (- (log z) t) (* (- a 0.5) (log t)))
0.2b	(* (- a 0.5) (log t))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
22×	`log-prod`
19×	`add-sqr-sqrt`
14×	`add-log-exp`
13×	`add-cube-cbrt`
9×	`pow1` `associate-+l+`
7×	`associate-+r+` `sum-log`
6×	`add-exp-log` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*l/` `associate--l+` `add-cbrt-cube` `flip--`
5×	`associate-l`
4×	`associate-+l-` `associate-r` `frac-add`
3×	`flip3-+` `diff-log` `log-pow` `flip-+` `distribute-lft-out` `distribute-lft-out--`
2×	`+-commutative` `sub-neg` `log-div` `difference-of-squares`
1×	`associate-+r-` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

3.0ms	(- (log z) t)
41.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
22.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
11.0ms	(* (- a 0.5) (log t))

series420.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (log z) t)
205.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
92.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
60.0ms	(* (- a 0.5) (log t))

simplify919.0ms

Counts

110 → 110

Iterations

Useful iterations: done (916.0ms)

Iter	Nodes	Cost
0	239	1697
1	635	1595
2	2093	1497
done	5001	1483

prune392.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2 (log (cbrt t))) (- a 0.5))
0.3b	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (- a 0.5) (log (cbrt t))))
0.5b	(cbrt t)
0.5b	(cbrt t)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`cbrt-prod` `associate-+r+` `log-prod`
11×	`add-cube-cbrt`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-*r/` `add-log-exp`
5×	`flip3--` `associate-r` `flip--`
4×	`sub-neg` `associate-+l+` `associate-*l/` `frac-add`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 79

Calls

4 calls:

15.0ms	(* (* 2 (log (cbrt t))) (- a 0.5))
13.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (- a 0.5) (log (cbrt t))))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series856.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(* (* 2 (log (cbrt t))) (- a 0.5))
314.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (- a 0.5) (log (cbrt t))))
181.0ms	(cbrt t)
177.0ms	(cbrt t)

simplify891.0ms

Counts

91 → 91

Iterations

Useful iterations: done (888.0ms)

Iter	Nodes	Cost
0	180	1427
1	493	1295
2	1877	991
done	5000	987

prune431.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (log (+ x y)) (+ (- (log z) t) (* (log (cbrt t)) (- (* 3 a) 1.5))))
0.1b	(+ (- (log z) t) (* (log (cbrt t)) (- (* 3 a) 1.5)))
0.4b	(* (log (cbrt t)) (- (* 3 a) 1.5))
0.5b	(cbrt t)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
13×	`add-log-exp`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `associate-+l+`
8×	`pow1`
7×	`log-prod` `sum-log`
6×	`add-exp-log` `associate-*r/` `add-cbrt-cube`
5×	`sub-neg` `associate-+r+` `flip3--` `associate-l` `flip--`
4×	`distribute-rgt-in` `associate-+l-` `distribute-lft-in` `frac-add`
3×	`cbrt-prod` `flip3-+` `associate-r` `associate--l+` `log-pow` `flip-+` `distribute-lft-out`
2×	`+-commutative` `log-div` `pow1/3` `diff-log`
1×	`associate-+r-` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

45.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (log (cbrt t)) (- (* 3 a) 1.5))))
20.0ms	(+ (- (log z) t) (* (log (cbrt t)) (- (* 3 a) 1.5)))
11.0ms	(* (log (cbrt t)) (- (* 3 a) 1.5))
1.0ms	(cbrt t)

series925.0ms

Counts

4 → 12

Calls

4 calls:

381.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (log (cbrt t)) (- (* 3 a) 1.5))))
180.0ms	(+ (- (log z) t) (* (log (cbrt t)) (- (* 3 a) 1.5)))
183.0ms	(* (log (cbrt t)) (- (* 3 a) 1.5))
180.0ms	(cbrt t)

simplify795.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (238.0ms)

Iter	Nodes	Cost
0	229	1885
1	639	1742
2	2272	1620
done	5001	1620

prune377.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes392.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	19	16
done	19	16

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.5s	55100×	body	80	nan
443.0ms	8032×	body	80	valid